基于高阶全驱模型的永磁同步电机奇异摄动控制
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中国矿业大学

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TP273

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Singular Perturbation Control of Permanent Magnet Synchronous Motor Based on High-order Fully Actuated Model
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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    针对永磁同步电机位置伺服系统中存在的参数不确定性和外部负载扰动问题,提出一种基于高阶全驱模型的奇异摄动控制方法,在保证快速响应的同时有效提高控制精度.首先,建立永磁同步电机伺服系统的高阶全驱模型;其次,利用奇异摄动理论对全驱模型进行降阶处理,基于高阶全驱理论对快、慢子系统进行控制器设计,克服高阶微分信号噪声的影响;然后,针对系统中存在的参数摄动和负载扰动问题,设计动态位置反馈补偿器对慢子系统进行控制,并利用一种微分跟踪器获取系统状态和参考输入的一阶微分信号,使得转子位置可以无超调渐近跟踪参考信号.最后,通过仿真与实验验证所提方法能够抑制未知时变负载的干扰及参数不确定带来的影响,提高永磁同步电机位置伺服系统的控制精度.

    Abstract:

    A singular perturbation (SP) control method based on a high-order fully actuated (HOFA) model is proposed for permanent magnet synchronous motor (PMSM) position servo systems, which aims to address parameter uncertainties and external load disturbances while achieving fast response and high control accuracy. First, a HOFA model of the PMSM servo system is established. Then, SP theory is used to reduce the order of the full-actuated model, and controllers for the fast and slow subsystems are designed based on the HOFA theory to suppress high-order differential noise. Next, to address the parameter perturbations and load disturbances in the system, a dynamic position feedback compensator is designed for the slow subsystem. Meanwhile, a differential tracker is introduced to obtain the first-order derivatives of both the system states and the reference input, ensuring that the rotor position asymptotically tracks the reference signal without overshoot. Finally, simulation and experimental results demonstrate that the proposed method can effectively suppress the effects of unknown time-varying loads and parameter uncertainties, thereby enhancing the control accuracy of the PMSM position servo system.

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  • 收稿日期:2025-10-29
  • 最后修改日期:2026-04-29
  • 录用日期:2026-04-30
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